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Finding the Third Proportional to 222,717 and 344,763

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Solution

The third proportional to 222,717 and 344,763 is: 533,688.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,717 : 344,763 = 344,763 : x
  2. Step 2: Convert to fraction form
    222,717/344,763 = 344,763/x
  3. Step 3: Cross multiply
    222,717x = 344,763 × 344,763
  4. Step 4: Simplify right side
    222,717x = 118,861,526,169
  5. Step 5: Solve for x
    x = 118,861,526,169/222,717
  6. Step 6: Final answer
    x = 533,688.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.